74 citations · 131 across the 5 of their papers we have counts for
5 papers
Fuzzy Geometries with an Internal Space
John W. Barrett, Joseph Burridge
The product of a non-commutative matrix spectral triple with a simple two-dimensional internal space is considered. This is interpreted as a non-commutative spacetime that contains…
Commuting Clifford actions
John W. Barrett
It shown that if a vector space carries commuting actions of two Clifford algebras, then the quadratic monomials using generators from either Clifford algebra determine a spinor re…
Fermion integrals for finite spectral triples
John W. Barrett
Fermion functional integrals are calculated for the Dirac operator of a finite real spectral triple. Complex, real and chiral functional integrals are considered for each KO-dimens…
Observables in the Turaev-Viro and Crane-Yetter models
John W. Barrett, J. Manuel Garcia-Islas, Joao Faria Martins
We define an invariant of graphs embedded in a three-manifold and a partition function for 2-complexes embedded in a triangulated four-manifold by specifying the values of variable…
Kleinian Geometry and the N=2 Superstring
J. Barrett, G. W. Gibbons, M. J. Perry +2
This paper is devoted to the exploration of some of the geometrical issues raised by the superstring. We begin by reviewing the reasons that -functions for the super…